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The noncommutative MMP for blowup surfaces

组织者

范祐维

演讲者

Tomohiro Karube

时间

2025年03月05日 13:30 至 15:30

地点

A3-2-303

线上

Zoom 815 762 8413 (BIMSA)

摘要

The notion of Bridgeland stability conditions is the derived analogue of the slope stability of coherent sheaves. Like the ample cone of a variety, the space of Bridgeland stability conditions reflects properties of a variety. The noncommutative minimal model program (NCMMP), proposed by Halpern-Leistner, is an analogue of minimal model program (MMP) in derived categories. The NCMMP aims to divide the derived category into smaller components through semiorthogonal decomposition by using the space of Bridgeland stability conditions. In this talk, I will show the relation between the NCMMP and quantum cohomology, and I will discuss the blowup of a surface at a point.